coherent state in geometric quantization

coherent state in geometric quantization


The original reference that interpreted coherent states in geometric quantization over Kähler manifolds is

  • J. H. Rawnsley, Coherent states and Kaehler manifolds, Quart. J. Math. Oxford (2), 28 (1977), pp. 403–415

A review and further developments of these considerations are in

  • Mauro Spera, On Kählerian coherent states (djvu)

Generalization to non-Kähler symplectic manifolds is in

See also

  • Anatol Odzijewicz, Coherent state method in geometric quantization, in Twenty Years of Bialowiez: a mathematical anthology, Aspects of Differential Geometric Methods in Physics_ (pp 47-78) , World Sci. Monogr. Ser. Math. 8 (2005); Coherent states and geometric quantization, Comm. Math. Phys. 150 (1992), no. 2, 385–413 doi 94c:58077

  • Brian Charles Hall, Geometric quantization and the generalized Segal–Bargmann transform for Lie groups of compact type, Comm. Math. Phys., 226:233–268, 2002. doi

  • D. J. Rowe, Coherent states, induced representations, geometric quantization, and their vector coherent state extensions, Symmetry in physics, 177–188, CRM Proc. Lecture Notes 34, Amer. Math. Soc. 2004. MR2005a:81100

  • C. Florentino, P. Matias, J. Mourão, J. P. Nunes, Geometric quantization, complex structures and the coherent state transform, J. Funct. Anal. 221(2):303–322, 2005 MR2005m:53179 doi

Revised on March 21, 2014 05:19:32 by Manuel Bärenz? (